Foul-kinds of simple estimation equations are proposed for the Helmhol
tz-Kohlrausch effect. Two of them can be used for luminous colors, and
the other two for object colors, In each of luminous and object color
s, the two estimation equations are given to each of the Variable-Achv
omatic-Color (VAC) and the Variable-Chromatic-Color (VCC) methods. All
the equations are similar in type to the Ware-Cowan equation, They gi
ve the ratio between luminance (or metric lightness) of test color sti
mulus and its equivalent luminance (or equivalent lightness) directly.
Though their computations are simple, they can apply to various H-K e
ffects including their adapting luminance dependency. The applicable f
ields of the proposed equations are wider than chose of the Ware-Cowan
equation, The proposed equations cart be applied to predict the H-K e
ffect within the whole chromaticity gamut including spectral colors, s
pectral luminosity, functions based on direct color matching front 0.0
1 Td to 100000 Td using the photopic and the scotopic spectral luminos
ity, functions specified by CIE, equivalent lightness values of NCS co
lors, and others. (C) 1997 John Wiley & Sons Inc.